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Verified answer
M = √18 + √80= 3√2 + 4√5
(m - 7√2)(m + 7√2) = m² - (7√2)²
= (3√2 + 4√5)² - 98
= (3√2)² + 2.(3√2).(4√5) + (4√5)² - 98
= 18 + 24√10 + 80 - 98
= 24√10